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22066002 = 2327732399
BaseRepresentation
bin101010000101…
…1001101010010
31112112001212100
41110023031102
521122103002
62104541230
7355362240
oct124131522
945461770
1022066002
1111501572
127481816
13475790a
142d05790
151e0d11c
hex150b352

22066002 has 48 divisors (see below), whose sum is σ = 55411200. Its totient is φ = 6215616.

The previous prime is 22066001. The next prime is 22066003. The reversal of 22066002 is 20066022.

22066002 is a `hidden beast` number, since 2 + 2 + 0 + 660 + 0 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22066001) and next prime (22066003).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22066001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999 + ... + 10397.

It is an arithmetic number, because the mean of its divisors is an integer number (1154400).

Almost surely, 222066002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22066002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27705600).

22066002 is an abundant number, since it is smaller than the sum of its proper divisors (33345198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22066002 is a wasteful number, since it uses less digits than its factorization.

22066002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22066002 is about 4697.4463275273. The cubic root of 22066002 is about 280.4838657348.

The spelling of 22066002 in words is "twenty-two million, sixty-six thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 2399 3066 4599 4798 7197 9198 14394 16793 21591 33586 43182 50379 100758 151137 175127 302274 350254 525381 1050762 1225889 1576143 2451778 3152286 3677667 7355334 11033001 22066002